A local trace formula for resonances of perturbed periodic Schrodinger operators

被引：14

作者：

Dimassi, M ^{[1
]}

Zerzeri, M ^{[1
]}

机构：

[1] Univ Paris 13, Inst Galilee, LAGA, F-93430 Villetaneuse, France

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2003年 / 198卷 / 01期

关键词：

periodic; resonance; trace;

D O I：

10.1016/S0022-1236(02)00063-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a local trace formula for the pair (P-1 (h) = P-o + W(hy), P-o), where P-o is a periodic Schrodinger operator, W is a decreasing perturbation and It is a small positive parameter. We apply this result to establish the existence of similar toh(-n) resonances near some energy lambda of sigma (P-o). (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：142 / 159

页数：18